What I mean is that even if only 0.0001% of the population commits an act of violence there will still be enough violence for the media to report about it non-s

What I mean is that even if only 0.0001% of the population commits an act of violence there will still be enough violence for the media to report about it non-stop. But it's still valid to say that the violence is virtually non-existent, in the same way that you might say that coins don't land on their edges, even though they do 0.0001% of the time. Also, looking at the news it seems like there was quite a bit of violence in South Africa in the run-up to the elections, so I don't think that's really a counterexample.